Complete Question
The complete question is shown on the first uploaded image
Answer:
a
![n =290](https://tex.z-dn.net/?f=n%20%3D290%20)
b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is ![E = 0.23](https://tex.z-dn.net/?f=E%20%20%3D%20%200.23)
The largest value is k = 15
The smallest value is u = 7
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally population standard deviation estimate is mathematically represented as
![\sigma = \frac{Range }{4}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7BRange%20%7D%7B4%7D)
Here the Range is mathematically represented as
![Range = k - u](https://tex.z-dn.net/?f=Range%20%20%3D%20%20k%20-%20u)
=> ![Range = 15 - 7](https://tex.z-dn.net/?f=Range%20%20%3D%2015%20-%207)
=> ![Range = 8](https://tex.z-dn.net/?f=Range%20%20%3D%208)
=> ![\sigma = \frac{8 }{4}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7B8%20%7D%7B4%7D)
=> ![\sigma = 2](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%202)
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=> ![n =290](https://tex.z-dn.net/?f=n%20%3D290%20)
Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
=> ![\sigma = \frac{Range }{6}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7BRange%20%7D%7B6%7D)
=> ![\sigma = \frac{8 }{6}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7B8%20%7D%7B6%7D)
=> ![\sigma =1.333](https://tex.z-dn.net/?f=%5Csigma%20%20%3D1.333)
Generally the conservatively small sample size is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
Answer:
15%
Step-by-step explanation:
I am not sure
Answer:
The answer is <u>g = 0.5</u>
Step-by-step explanation:
1. Your equation is :
<em>9+3.5g=11-0.5g</em>
2. First, multiply both sides by ten
<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>
3. Next we refine the equation
<em>90 + 35g = 110 - 5g</em>
4. Now, lets subtract 90 from both sides
<em>90 + 35g - 90 = 110 - 5g - 90</em>
5. Simplify
<em>35g + 5g = -5g + 20 + 5g</em>
6. We then add 5g to both sides
<em>35g + 5g = -5g + 20 + 5g</em>
7. Simplify again
<em>40g = 20</em>
8. Now, divide both sides by 40
<em>40g/40 = 20/40</em>
9. And finally, simplify once again to get your final answer.
<em>g = 1/2 or 0.5</em>
I hope this helped :)
Answer:
Option B.
Step-by-step explanation:
The non-uniform probability is when the event is not same in the occurring of event.
Option A is uniform because there will be equal chance of getting head or tail.
Option B is non-uniform because sum can be any number if we get(3,4) it will be 7 and if we have (2,3) then it will be 5.
Option C is uniform because we have equal number of red and green balls so, selecting a ball from both will be same.
Option D is uniform because chance of 1,2,,3,4,5 or 6 will be equal chance from rolling a die that is 1/6 in all cases.
Therefore, Option B is correct